41 citations · 42 across the 7 of their papers we have counts for
9 papers
On Foliated Optimal Transport
Diego S. Ledesma, Renata Possobon, Christian S. Rodrigues
In this paper we introduce a geometrically constrained optimal transport problem on Riemannian manifolds endowed with a Borel foliation, in which mass is transported only within in…
Weak solutions for stochastic differential equations with additive fractional noise
Pedro J. Catuogno, Diego S. Ledesma
We give a new approach to prove the existence of a weak solution of \[dx_t = f(t,x_t)dt + g(t)dB^H_t\] where is a fractional Brownian motion with values in a separable Hilb…
Invariance of 0-currents under diffusions
Diego Sebastian Ledesma, Fabiano Borges da Silva
We study two actions of a stochastic flow on the space of currents of a differentiable manifold . In particular, we give conditions on a current to be invarian…
Harmonic measures in embedded foliated manifolds
Pedro J. Catuogno, Diego S. Ledesma, Paulo R. Ruffino
We study harmonic and totally invariant measures in a foliated compact Riemannian manifold isometrically embedded in an Euclidean space. We introduce geometrical techniques for sto…
Lyapunov 1-form for diffusion processes
Diego S. Ledesma
We extend the concept of Lyapunov 1-forms for the case of diffu- sion processes to study its asymptotic behavior. We give some examples and a condition for the existence of these o…
Conditions to the density of accessible sets
Diego S. Ledesma
Given a control system on a compact manifold M we study conditions for the foliation defined by the accessible sets be dense in M . To do…
A note on stochastic calculus in vector bundles
Pedro J. Catuogno, Diego S. Ledesma, Paulo R. Ruffino
The aim of these notes is to relate covariant stochastic integration in a vector bundle (as in Norris \cite{Norris}) with the usual Stratonovich calculus via the connector $\K:…
Foliated stochastic calculus: Harmonic measures
Pedro J. Catuogno, Diego S. Ledesma, Paulo R. Ruffino
In this article we present an intrinsec construction of foliated Brownian motion via stochastic calculus adapted to foliation. The stochastic approach together with a proposed foli…
Single field inflationary models with non-compact Kaluza-Klein theory
Diego S. Ledesma, Mauricio Bellini
We discuss a semiclassical treatment to inflationary models from Kaluza-Klein theory without the cylinder condition. We conclude that the evolution of the early universe could be d…